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A level set formulation for Willmore flow. (English) Zbl 1062.35028
The authors give a level set formulation of Willmore flow using gradient flow. They discuss spatial and temporal discretizations giving some numerical simulations.

MSC:
35K55 Nonlinear parabolic equations
53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
74G65 Energy minimization in equilibrium problems in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
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